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If you consider the relationship between two quantities, an input/output machine can be used to represent this relationship. You have a function if there is only one output for each input. You have a relation if not.

Can a relationship exist that isn't a function?

What is relation in math?

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The number of money farmers made by selling 5732 ducks will be $45856.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Mike sold 5,640 chickens and 5,732 ducks from his farm. He made $79,696. If he sold 5,640 chickens and 5,640 ducks, he would get $78,960.

Form two equations to get the amount:-

5640c + 5732d = 79696

5640c + 5640d = 78960

Solve both the equations by elimination method:-

5640c -5640c + 5732d - 5640d = 79696 - 78960

92d = 736

d = 736 / 92

d = $8

Total amount = $8 x 5732 = $45856

Therefore, the money farmers made by selling 5732 ducks will be $45856.

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After solving each system, 5x + y = 0, 5x + 2y = 30, the values of x and y are calculated to be -6 and 30 respectively.

The given equations are considered linear equations as the highest power of the variables in these equations is one.

By rearranging the first equation, the value of y can be found to be,

5x + y = 0

y = -5x

Putting the calculated value of y in the second equation,

5x + 2y = 30

5x + 2(-5x) = 30

5x - 10x = 30

-5x = 30

x = 30 / -5

x = -6

To solve for y, put x = -6  in the first equation as follows,

5x + y = 0

5(-6) + y = 0

-30 + y = 0

y = 30

Hence, the values of x and y in these systems are calculated to be -6 and 30 respectively.

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The solution of the given equation 3(2-c)=-(c+4) is c = 5.

According to the given question.

We have an equation

3(2 - c ) = -( c + 4)

Since, we have to solve the above equation for c.

Therefore, the solution of the above equation is gievn by

3(2 - c) = -( c + 4)  

⇒ 3(2) -3(c) = -c -4  (by distributive law)

⇒ 6 -3c = -c - 4  

⇒ 6 + 4 -3c = -c            (adding 4 both the sides)

⇒ 10 -3c = -c

⇒ 10 = -c + 3c    ( adding 3c both the sides)

⇒ 10 = 2c

⇒ 10/2 = c        (multiply both the sides by 2)

⇒ 5 = c or c = 5

Hence, the solution of the given equation 3(2-c)=-(c+4) is c = 5.

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The exterior angle is acute, the sum of the farthest interior angles must also be acute, implying that the third angle is obtuse. As a result, every triangle should be obtuse.

An obtuse-angled triangle has one of its interior provides a clear view than 90°.. If one angle in an obtuse triangle measures upwards of 90°, the combination of the remaining two angles is a little less than 90°.

if the exterior angle is acute, this same sum of something like the remote interior angles must also be acute, implying that the third angle is obtuse. As a result, the triangle must be obtuse. Furthermore, because the exterior angle and A form a linear pair, A must be obtuse because consecutive acute angles cannot form a linear pair.

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According to the question, the true statement is the function 'h' is a vertical translation of a function ''f.

What is exponential function?

The exponential function can be defined as the base of two with the integer powers. The base can be represented as common factors as well as common multipliers. The graph representation of the exponential function can be called as "rate of change". It either increases or decreases or constant with respect to another functions.

The transformation of a function can be performed either with translation, reflection, vertical sliding or horizontal sliding. It can be done with the help of the calculated values known as asymptotic. And the end behavior of the function is always consistent.

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Answer:

Could you explain the problem a bit more?

Step-by-step explanation:

The probability that ht occurs before hh IS 1/3

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

P(HH)=1/4

P(HT)=1/4

p(HT) = ½×p(TH) + ½×1 = p(TH)/2 + 1/2.

p(HH) = p(HH)/2

p(HT) = p(TH)/2 + 1/2

p(TH) = p(HH)/2 + p(HT)/2

p(TT) = p(TH)/2 + p(TT)/2

p(HH) = 0.

p(TH) = p(HT)/2

p(HT) = p(HT)/4 + 1/2

p(TH) = 1/3

p(TT) = p(TH) implies p(TT) = 1/3

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The equation of the circle that passes through the point (0 , 4) and has a center at the origin is x^2 + y^2 = 16.

Using the distance formula, get the radius of the circle by solving for the distance between the center and the point (0 , 4).

radius = distance = √(x2 - x1)^2 + (y2 - y1)^2

radius = √(0 - 0)^2 + (4 - 0)^2

radius= √0 + 16

radius = 4

The standard form of the equation of the circle is given by (x - h)^2 + (y - k)^2 = r^2, where (h , k) is the location of the center and r is the radius of the circle.

Given the radius and center of the circle, substitute these values to the standard form of the equation of the circle.

(x - h)^2 + (y - k)^2 = r^2

where (h , k) = (0 , 0)

r = 4

(x - 0)^2 + (y - 0)^2 = 4^2

x^2 + y^2 = 16

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The answer is (-3.-8)

When we rotate a point 90° counterclockwise around the origin, it's the same as rotating it 270° clockwise around the origin.

When we rotate something 270° clockwise around the origin, the original coordinates (x, y) becomes (-y, x).

Clockwise Rotations (CW) follow the path of the hands of a clock. These rotations are denoted by negative numbers. Counterclockwise Rotations (CCW) follow the path in the opposite direction of the hands of a clock. These rotations are denoted by positive numbers.

The angle of rotation between the two points or vertices is the number of central angles times the measure of a single central angle: angle of rotation =m×α = m × α .

y is 3, and -(3) is just -3, since multiplying negatives make a negative.

x just remains x, but it's in a different position.

This makes the new coordinate (-3, -8)

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Answer:

5n - 10 = 15.

Step-by-step explanation:

If the number is n then 5 times it is 5n.

10 less than this is 5n - 10.

So, the equation is

5n - 10 = 15.

The four consecutive integers are 121, 122, 123, 124.

We have the sum of four consecutive integers equals to 490

We have to determine those integers.

An integer is a number with no decimal or fractional part. It includes negative and positive numbers, including zero.

Assume the first integer is x. Then, the other integers will be -

x + 1 , x + 2 , x + 3.

Therefore -

x + (x + 1) + (x + 2) + (x + 3) = 490

4x + 6 = 490

4x = 484

x = 121

So -

x = 121

x + 1 = 122

x + 2 = 123

x + 3 = 124

Hence, the four consecutive integers are 121, 122, 123, 124.

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Answer: The amount of long will it take the plant to grow is [tex]5\frac{2}{7}[/tex] weeks.

Step-by-step explanation:

Given data,

A certain days plant grows 1 1/6 inches

It take the plant to grow 6 1/6 inches

Let us assume,

A certain days plant grows = x

It take the plant to grow = y

So ,

we can write,

                       x = 1 and 1/6

                       x = 1*1/6

 L.C.M is '6',

Then,

                      x = (6+1) / 6

                      x = 7/6

Then,

                 y = 6 and 1/6

                 y = 6*1/6

                 y =(1+36) / 6

                y = 37/6

So, divide      y/x = (37/6) / (7/6)

                            = 37/6 * 6/7

 L.C.M is 42

                            = 222/42

                            = 5  12/42

                            = 5  2/7 weeks

Therefore,

        The amount of long will it take the plant to grow is [tex]5\frac{2}{7}[/tex] weeks.

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Answer:

Step-by-step explanation:g(-3) = 3(-3) = -9

f(g(-3)) = f(-9) = 2(-9) -1 = -18 -1 = -19

Answer:

I believe 72

Step-by-step explanation:

The sum of the infinite geometric series 0.5+0.05+0.005+ . . .  is S = 0.55556

The given geometric series is:

 0.5 + 0.05 + 0.005 + . . .

The common ratio (r) of a geometric series is given by:

  r = a(n) / a(n - 1)

Notice that in the given series:

a(1) = 0.5

a(2) = 0.05

a(3) = 0.005

Hence, the common ratio is

   r = a(2) / a(1) = 0.05/0.5 = 0.1

Since 0 < r < 1, the series is convergent and the sum exists.

Use the sum formula:

S = a(1) / (1 - r)

Substitute a(1) = 0.5 and r = 0.1 into the formula:

S = 0.5 / (1 - 0.1)

   = 0.5 / (0.9)

   = 0.55556

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Answer:

√34

Step-by-step explanation:

it would be radical 34.

The tangent to the given curve at the point (1,0) is: y=6x-6.

The first derivative f'(x), the slope (tangent) of the original curve, may be obtained at every point (x,y) on the curve because the supplied curve is a continuous function, making Eq. 1 differetiable at every x.

The slope of the tangent at x=1 is given by the first derivative of Eq. 1: f'(1)=9(1)2-3=6.

A line that passes through the point (x1, y1) and has a slope of m has the equation:

(y-y1)=m(x-x1) ··· Eq.2 (the point- slope form of linear function)

Here, x1=1, y1=0, and m=f'(x1)=6. Add these numbers to Eq. 2. It is possible to repeat and simplify Eq. 2 as follows: y-0=6(x-1) ⇒ y=6x-6

Consequently, y=6x-6 is the tangent to the given curve at position (1, 0).

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Answer:

First term:  0.5

Sum of the first give terms:  30.5

Step-by-step explanation:

General form of a geometric sequence:

 [tex]a_n=ar^{n-1}[/tex]

where:

Given terms:

To find the common ratio r, divide consecutive terms:

[tex]\implies r=\dfrac{a_5}{a_4}=\dfrac{40.5}{-13.5}=-3[/tex]

To find the first term, substitute the found value of r and one of the terms into the general formula:

[tex]\begin{aligned}\implies a_5 =a(-3)^4 & = 40.5\\81a & = 40.5\\a & = \dfrac{40.5}{81}\\a & = 0.5 \end{aligned}[/tex]

Sum of the first n terms of a geometric series:

 [tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

To find the sum of the first 5 terms of the geometric sequence, substitute n = 5 and the found values of a and r into the formula:

[tex]\begin{aligned}\implies S_5 & =\dfrac{0.5(1-(-3)^5)}{1-(-3)}\\\\& =\dfrac{0.5(1+243)}{1+3}\\\\& =\dfrac{0.5(244)}{4}\\\\& =\dfrac{122}{4}\\\\ & = 30.5\end{aligned}[/tex]

Therefore, the sum of the first 5 terms is 30.5.

The distance between the highest and the lowest points of elevation is 9904 meters.

In order to determine the distance between the highest and the lowest points of elevation, subtract the heights of both places from each other.

Subtraction is a mathematical operation that is used to determine the difference between two or more numbers. The sign used to denote subtraction is -.

Height of mount Everest - height of Turpan Pandi

8850 - (-154)

8850 + 154 = 9004m

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Answer:

no photo

Step-by-step explanation:

we need a photo to decide if answer is correct or not

The total distance traveled in 2-hour time is 50 miles. (option g)

Shauna drove 75 miles in 3 hours at a constant speed, so the total distance covered in 3 hours is 75 miles to find the distance covered in 2 hours, we first need to find the distance or miles covered in 1 hour

To find the distance Shauna traveled in 2 hours, use the following formula: –

Speed ​​= distance/time

Total distance traveled = 75 miles

Total time = 3 hours = 3 hours

Speed ​​= 75/3

Speed ​​= 25 miles per hour

Distance traveled in 2-hour time is 50 miles.

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The radius of a table with a circumference of 10 feet is A. 1.6 ft .

A circle's outside boundary is called the circumference and can be measured, or calculated, by using

Circumference = 2πr

where r is the radius of circle.

Now it is given that,

Circumference of table = 10 feet

Since, Circumference = 2πr

⇒ 2πr = 10

⇒ r = 10/2π

⇒ r = 10/6.28

⇒ r = 1.59

⇒ r ≈ 1.6 feet

Thus, the radius of a table with a circumference of 10 feet is A. 1.6 ft

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The simplified expression after rationalizing the denominator is [tex]3\sqrt{55} / 11[/tex].

The given expression is,

[tex]3\sqrt{5} /\sqrt{11}[/tex]                                                equation 1

Name the given expression as equation 1.

To simplify the given expression first we need to rationalize the denominator that is [tex]\sqrt{11}[/tex] .

To rationalize the denominator we need to multiply and divide the given equation 1 by [tex]\sqrt{11}[/tex] . On multiplying and dividing the given equation 1 by [tex]\sqrt{11}[/tex], we will get

[tex]3\sqrt{5} /\sqrt{11}[/tex] = ( [tex]3\sqrt{5}[/tex] ×[tex]\sqrt{11}[/tex])/([tex]\sqrt{11}[/tex] ×[tex]\sqrt{11}[/tex])

On further simplifying the expression , we will get

= ([tex]3\sqrt{5}[/tex] × [tex]\sqrt{11}[/tex])/11 = [tex]3\sqrt{55} / 11[/tex]

So, we can conclude that the simplified expression after rationalizing the denominator is [tex]3\sqrt{55} / 11[/tex].

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this is a proportional relationship that can be written as:

P = 5,184*S

Top see this, just take the quotient between the number of pixels and the number of square inches of each screen, and let's see if we get the same value for the given rows.

31,104/6 = 5,184

For the next row we have:

373,248/72 = 5,184

And so on, you will get the same quotient for the 3 rows, then we can conclude that yes, this is a proportional relationship that can be written as:

P = 5,184*S

Where P is the number of pixels and S is the number of square inches.

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The required coordinate of b is given as (-7, 4 ).

Given that,

To determine the coordinate of b  if M is the midpoint of AB. A(1, -4) and M(-3 ,0).

The midpoint is that point the line whose distance from both the ends of the line is equal.

Here,

We have given two coordinates one of the endpoints of AB and the other is midpoint M i.e. A(1, -4) and M(-3, 0).

Definition of midpoint says,

x = [x₁ +  x₂] / 2 ; y = [y₁ + y₂] / 2

x₁ = 1, x = -3 , y₁ = -4, y = 0

now,

-3 = [1 + x₂] / 2 ; 0 = [-4 + y₂] / 2

x₂ = -6 - 1 ; y₂ = 0 + 4

x₂ = -7 : y₂ = 4

Thus, the required coordinate of b is given as (-7, 4 ).

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The hypothesis is the phrase following the word if = " three points lie on a line"

The conclusion is the phrase following the word then = "they are collinear."

A specific, verifiable prediction of what the researcher(s) believe the study's results will be is known as a hypothesis (plural: hypothese). It is stated at the outset of the investigation.

Most often, this entails speculating on a potential correlation between two variables: the independent variable (what the researcher modifies) and the dependent variable (what the research measures).

The null hypothesis and the alternative hypothesis (known as the experimental hypothesis when the technique of examination is an experiment) are traditionally written as two separate forms of the hypothesis in research.

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